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On the Oscillation of Solutions of Differential Equations with Neutral Term

Author

Listed:
  • Fatemah Mofarreh

    (Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia
    These authors contributed equally to this work.)

  • Alanoud Almutairi

    (Department of Mathematics, Faculty of Science, University of Hafr Al Batin, P.O. Box 1803, Hafar Al Batin 31991, Saudi Arabia
    These authors contributed equally to this work.)

  • Omar Bazighifan

    (Section of Mathematics, International Telematic University Uninettuno, 00186 Roma, Italy
    Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
    These authors contributed equally to this work.)

  • Mohammed A. Aiyashi

    (Department of Mathematics, Faculty of Science, Jazan University, Jazan 218, Saudi Arabia
    These authors contributed equally to this work.)

  • Alina-Daniela Vîlcu

    (Department of Computer Science, Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploieşti, 100680 Ploieşti, Romania
    These authors contributed equally to this work.)

Abstract

In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method. The presented results essentially extend and simplify known conditions in the literature. To prove the validity of our results, we give some examples.

Suggested Citation

  • Fatemah Mofarreh & Alanoud Almutairi & Omar Bazighifan & Mohammed A. Aiyashi & Alina-Daniela Vîlcu, 2021. "On the Oscillation of Solutions of Differential Equations with Neutral Term," Mathematics, MDPI, vol. 9(21), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2709-:d:664304
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